WOD变量加权和的完全收敛性

张颖 , 张玉 , 沈爱婷

doi:10.13371/j.cnki.chin.q.j.m.2016.01.001

数学季刊 >

2016 , Vol. 31 >Issue 1: 1 - 8

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.01.001

WOD变量加权和的完全收敛性

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School of Mathematical Sciences, Anhui University

ZHANG Ying(1993-), female, native of Putian, Fujian, engages in probability limit theorem; ZHANG Yu(1989-), male, native of Hefei, Anhui, engages in probability limit theorem; SHEN Ai-ting(1979-), female, native of Hefei, Anhui, an associate professor of Anhui Universiry, Ph.D., engages in probability limit theorem.

收稿日期: 2014-07-08

网络出版日期: 2020-11-12

基金资助

Supported by the Natural Science Foundation of Anhui Province(1308085QA03)； Supported by the Quality Improvement Projects for Undergraduate Education of Anhui University(ZLTS2015035);Supported by the Research Teaching Model Curriculum of Anhui University(xjyjkc1407);Supported by the Students Innovative Training Project of Anhui University(201410357118)；

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Complete Convergence for Weighted Sums of WOD Random Variables

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School of Mathematical Sciences, Anhui University

Received date: 2014-07-08

Online published: 2020-11-12

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摘要

In this article, we study the complete convergence for weighted sums of widely orthant dependent random variables. By using the exponential probability inequality, we establish a complete convergence result for weighted sums of widely orthant dependent random variables under mild conditions of weights and moments. The result obtained in the paper generalizes the corresponding ones for independent random variables and negatively dependent random variables.

关键词： widely orthant dependence; complete convergence; weighted sums

本文引用格式

张颖 , 张玉 , 沈爱婷 . WOD变量加权和的完全收敛性[J]. 数学季刊, 2016 , 31(1) : 1 -8 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.01.001

Abstract

Key words： widely orthant dependence; complete convergence; weighted sums

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